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Finding the Fourth Proportional to 493,471.08, 740,146.78 and 138,513.64

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Solution

The fourth proportional to 493,471.08, 740,146.78 and 138,513.64 is: 207,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,471.08 : 740,146.78 = 138,513.64 : x
  2. Step 2: Convert to fraction form
    493,471.08/740,146.78 = 138,513.64/x
  3. Step 3: Cross multiply
    493,471.08x = 740,146.78 × 138,513.64
  4. Step 4: Simplify right side
    493,471.08x = 102,520,424,632.08
  5. Step 5: Solve for x
    x = 102,520,424,632.08/493,471.08
  6. Step 6: Final answer
    x = 207,753.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.